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Finding the Fourth Proportional to 9,657.38, 14,483.55 and 3,416.78

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Solution

The fourth proportional to 9,657.38, 14,483.55 and 3,416.78 is: 5,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.38 : 14,483.55 = 3,416.78 : x
  2. Step 2: Convert to fraction form
    9,657.38/14,483.55 = 3,416.78/x
  3. Step 3: Cross multiply
    9,657.38x = 14,483.55 × 3,416.78
  4. Step 4: Simplify right side
    9,657.38x = 49,487,103.97
  5. Step 5: Solve for x
    x = 49,487,103.97/9,657.38
  6. Step 6: Final answer
    x = 5,124.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.